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Finding the Fourth Proportional to 21,201.75, 31,807.49 and 7,350.75

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Solution

The fourth proportional to 21,201.75, 31,807.49 and 7,350.75 is: 11,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.75 : 31,807.49 = 7,350.75 : x
  2. Step 2: Convert to fraction form
    21,201.75/31,807.49 = 7,350.75/x
  3. Step 3: Cross multiply
    21,201.75x = 31,807.49 × 7,350.75
  4. Step 4: Simplify right side
    21,201.75x = 233,808,870.36
  5. Step 5: Solve for x
    x = 233,808,870.36/21,201.75
  6. Step 6: Final answer
    x = 11,027.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.